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3 years ago

10

Which equation does the graph represent?

2 answers:

11111nata11111 [884]3 years ago

6 0

Slope = ½
y-int = 0

The graph represents equation y = ½x.

The correct answer is B. y = ½x.

Butoxors [25]3 years ago

4 0

It is B because the equation for slope is x/y and when x=1 y=2 so it is 1/2

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How many tens are in 720?

lilavasa [31]

There are 72 tens in 720.

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3 years ago

Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-

DENIUS [597]

$\vec F(x,y,z)=(e^x+y)(1,1,z)$

is conservative if we can find a scalar function $f$ such that $\nabla f=\vec F$ . This would require

$f_x=e^x+y$

$f_y=e^x+y$

$f_z=(e^x+y)z$

Integrating both sides of the first equation wrt $x$ gives

$f(x,y,z)=e^x+xy+g(y,z)$

Differentiating both sides of this wrt $y$ gives

$f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)$

but we assumed $g$ was a function of $y$ and $z$ , independent of $x$ . So there is no such $f$ and $\vec F$ is not conservative.

To find the work, first parameterize the path (call it $C$ ) by

$\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)$

for $0\le t\le1$ . Then

$\vec r'(t)=(-4,5,-5)$

and the work is given by the line integral,

$W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt$

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8 0

3 years ago

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4 years ago

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3 years ago

Read 2 more answers

What can be best described as a relationship between two quantities in which one quantity is dependent upon the other?

Anastaziya [24]

Answer:

a function

Step-by-step explanation:

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4 years ago